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Least Common Multiple (LCM) of 67 and 97

The least common multiple (LCM) of 67 and 97 is 6499.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 67 and 97?

First, calculate the GCD of 67 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 97 = 0 remainder 67
2 97 ÷ 67 = 1 remainder 30
3 67 ÷ 30 = 2 remainder 7
4 30 ÷ 7 = 4 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 222134
97 and 272619
109 and 19721473
170 and 11810030
159 and 629858

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